Question

11. Write 5 equivalent fractions for
• 6/7.​

Answer 1

Explanation:

`(6)/(7)=(6\cdot2)/(7\cdot2)=(12)/(14)\\\\(6)/(7)=(6\cdot3)/(7\cdot3)=(18)/(21)\\\\(6)/(7)=(6\cdot4)/(7\cdot4)=(24)/(28)\\\\(6)/(7)=(6\cdot5)/(7\cdot5)=(30)/(35)\\\\(6)/(7)=(6\cdot6)/(7\cdot6)=(36)/(42)\\\\(6)/(7)=(6\cdot7)/(7\cdot7)=(42)/(49)\\\vdots\\(6)/(7)=(6\cdot10)/(7\cdot10)=(60)/(70)\\\vdots\\(6)/(7)=(6\cdot100)/(7\cdots100)=(600)/(700)\\\vdots`

Answer 2

`\huge{\boxed{(12)/(14)}} \huge{\boxed{(18)/(21)}} \huge{\boxed{(24)/(28)}} \huge{\boxed{(30)/(35)}} \huge{\boxed{(36)/(42)}}`

One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

For example, for the first answer,
`\boxed{(12)/(14)}`, I simply multiplied the numerator and denominator each by 2. This gives you an equivalent fraction.

You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.